Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem
The primary purpose of this paper is to investigate the existence of two distinct types of fuzzy mild solutions for fuzzy fractional evolution equations under Caputo's $gH-$differentiability. The proofs are based on fuzzy strongly continuous semigroups, a new Krasnoselskii fixed point theorem a...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Maragheh
2025-01-01
|
| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_718670_0fe8a208ca738cd25698d285c67bb508.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823859350376022016 |
|---|---|
| author | Ismail Airou Ali El Mfadel Elomari Mhamed |
| author_facet | Ismail Airou Ali El Mfadel Elomari Mhamed |
| author_sort | Ismail Airou |
| collection | DOAJ |
| description | The primary purpose of this paper is to investigate the existence of two distinct types of fuzzy mild solutions for fuzzy fractional evolution equations under Caputo's $gH-$differentiability. The proofs are based on fuzzy strongly continuous semigroups, a new Krasnoselskii fixed point theorem appropriate for fuzzy metric spaces, and some elementary fuzzy fractional calculus tools. |
| format | Article |
| id | doaj-art-b97e4b34e1e646cea44dfbed7cba99a8 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-b97e4b34e1e646cea44dfbed7cba99a82025-02-11T05:28:01ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002025-01-012219310810.22130/scma.2024.2023965.1649718670Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point TheoremIsmail Airou0Ali El Mfadel1Elomari Mhamed2Laboratory of Applied Mathematics and Scientific Computing Sultan Moulay Slimane University, Beni Mellal, Morocco.Laboratory of Applied Mathematics and Scientific Computing Sultan Moulay Slimane University, Beni Mellal, Morocco.Laboratory of Applied Mathematics and Scientific Computing Sultan Moulay Slimane University, Beni Mellal, Morocco.The primary purpose of this paper is to investigate the existence of two distinct types of fuzzy mild solutions for fuzzy fractional evolution equations under Caputo's $gH-$differentiability. The proofs are based on fuzzy strongly continuous semigroups, a new Krasnoselskii fixed point theorem appropriate for fuzzy metric spaces, and some elementary fuzzy fractional calculus tools.https://scma.maragheh.ac.ir/article_718670_0fe8a208ca738cd25698d285c67bb508.pdffuzzy fractional evolution equationsfuzzy semigroupsfuzzy caputo fractional $gh$-derivativekrasnosel’skii fixed point theorem |
| spellingShingle | Ismail Airou Ali El Mfadel Elomari Mhamed Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem Sahand Communications in Mathematical Analysis fuzzy fractional evolution equations fuzzy semigroups fuzzy caputo fractional $gh$-derivative krasnosel’skii fixed point theorem |
| title | Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem |
| title_full | Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem |
| title_fullStr | Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem |
| title_full_unstemmed | Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem |
| title_short | Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem |
| title_sort | existence of mild solutions for fuzzy fractional evolution equations via krasnosel skii fixed point theorem |
| topic | fuzzy fractional evolution equations fuzzy semigroups fuzzy caputo fractional $gh$-derivative krasnosel’skii fixed point theorem |
| url | https://scma.maragheh.ac.ir/article_718670_0fe8a208ca738cd25698d285c67bb508.pdf |
| work_keys_str_mv | AT ismailairou existenceofmildsolutionsforfuzzyfractionalevolutionequationsviakrasnoselskiifixedpointtheorem AT alielmfadel existenceofmildsolutionsforfuzzyfractionalevolutionequationsviakrasnoselskiifixedpointtheorem AT elomarimhamed existenceofmildsolutionsforfuzzyfractionalevolutionequationsviakrasnoselskiifixedpointtheorem |